-7=.75[3+(-10k)]+(-5k)

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Solution for -7=.75[3+(-10k)]+(-5k) equation: 


Simplifying
-7 = 0.75[3 + (-10k)] + (-5k)
-7 = [3 * 0.75 + (-10k) * 0.75] + (-5k)
-7 = [2.25 + -7.5k] + (-5k)

Combine like terms: -7.5k + (-5k) = -12.5k
-7 = 2.25 + -12.5k

Solving
-7 = 2.25 + -12.5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '12.5k' to each side of the equation.
-7 + 12.5k = 2.25 + -12.5k + 12.5k

Combine like terms: -12.5k + 12.5k = 0.0
-7 + 12.5k = 2.25 + 0.0
-7 + 12.5k = 2.25

Add '7' to each side of the equation.
-7 + 7 + 12.5k = 2.25 + 7

Combine like terms: -7 + 7 = 0
0 + 12.5k = 2.25 + 7
12.5k = 2.25 + 7

Combine like terms: 2.25 + 7 = 9.25
12.5k = 9.25

Divide each side by '12.5'.
k = 0.74

Simplifying
k = 0.74

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